Pressure Inside a Fluid

In air an object weighs $15 \mathrm{N}$, when immersed completely in water the same object weighs $12 \mathrm{N}$. When immersed in another liquid completely, it weighs $13 \mathrm{N}$. Find The specific gravity of the other liquid

A drum containing water is rotating about its own axis along with the liquid inside at a constant angular velocity $\omega$. Under steady condition, what will be the shape of the free surface of liquid?

The tank shown in figure is filled with water up to a height of $2 \mathrm{m}$. Assuming the atmospheric pressure to be absent the force that the water exerts on side ABCD is equal to

($g=9.8 \mathrm{m}/{\mathrm{s}}^2$ and density of water $\rho = 1000 \mathrm{kg}/{\mathrm{m}}^3$)

Consider a vessel containing homogeneous liquid. Two points A and B are taken inside the liquid as shown.If $P_A,P_B$ are pressures at points A and B respectively, then

Two immiscible liquids of densities $2.5 \mathrm{g}/\mathrm{cm}³$ and $0.8 \mathrm{g}/\mathrm{cm}³$are taken in the ratio of their masses as $2:3$ respectively. Find the average density of the liquid combination.

The pressure exerted by the applied force of magnitude $10\sqrt{2} \mathrm{N}$ on the horizontal surface area of $\sqrt{2} {\mathrm{m}}^2$ as shown in the figure is

The density of mercury $13600 \mathrm{kg} {\mathrm{m}}^{-3}$. Its value in CGS system will be

Establish the relation between pressure, height, density and acceleration due to gravity.

When oil having specific gravity $0.8$ is poured on water, which is the most likely observation

A body floats in water with $40\%$ of its volume outside water. When the same body floats in an oil, $60\%$ of its volume remains outside oil. The relative density of oil is

A cubical container of side length '$L$' is half filled with liquid of density $\rho$ and placed on the floor of an elevator accelerating downward with acceleration $\text{'}\frac{g}{2}\text{'}$. Now the container is given a horizontal acceleration with respect to elevator parallel to one of the horizontal edges, and the acceleration is gradually increased in such a way that liquid in the container never start oscillation. Then, ($P_0=$ atmospheric pressure)

A bottle is kept on the ground as shown in the figure. The bottle can be modelled as having two cylindrical zones. The lower zone of the bottle has a cross-sectional radius of $R\sqrt{2}$ and is filled with honey of density $2\rho$. The upper zone of the bottle is filled with the water of density $\rho$ and has a cross- sectional radius $R$. The height of the lower zone is $H$ while that of the upper zone is $2H$. If now the honey and the water parts are mixed together to form a homogeneous solutions: ( Assume that total volume does not change)

Three different liquids are filled in a $U$-tube as shown in figure. Their densities are ${\rho }_1,{\rho }_2$ and ${\rho }_3$ respectively. From the figure, we may conclude that

State the$C.G.S$ unit of density.

What is $\mathrm{C}.\mathrm{G}.\mathrm{S}$ unit of density?

The wall of a dam is straight with height $H$ and length $L$. It holds a lake of water on one side of height $h(h<H)$ and base dimension $L\times L$. Let the density of water be ${\rho }_w$. Ignore atmospheric pressure. Then due to the water

What is the dimensional formula for density?

What is the unit of density in a CGS system?

Write different units of density.

A body is submerged in water. It is taken out and then submerged in mercury. What happens to its relative density with respect to the liquid in which it is submerged.